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Paladinen [302]
3 years ago
10

Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area

of the polygon. Be sure to show all your work and explain your answer.
Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.

Mathematics
2 answers:
Roman55 [17]3 years ago
4 0
<span>Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet,
triangle1 area= height * base /2
</span>triangle1 area= 25* 25/2= 312.5
<span>
the other height and base of 8 feet,
</span>triangle2 area= height * base /2
triangle2 area= 8* 8/2= 32
<span>
and one rectangle measuring 35 feet by 8 feet
</span>rectangle area= height * base 
rectangle area= 35* 8= 280

Total area= triangle1 area + triangle2 area + rectangle area= 312.5+ 32+280= 624.5
SCORPION-xisa [38]3 years ago
4 0

Hello,

The correct answer is 624.5

Hope this helps!!!! Happy Holidays!!!! (:

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22% of adults would pay more for environmentally friendly products he randomly select 10 adults find the probability that the nu
Anettt [7]

Answer: 0.383 and 0.6671

Step-by-step explanation:

Take 22%, that is 0.22 to be probability of success.

That means "1-0.22 = 0.78" is the probability of failure.

When dealing with selection in probability mathematics, the combination equation is used.

Probability of selecting number 'r' as a successful outcome from a given number 'n' is given as

nCr * p^r * q^n-r

Where p is the probability of success= 0.22

q is the probability of failure= 0.78

n is the total number of sample =10

r is the varying outcome of number of success.

For the first question, number of success is asked to be everything more than 2, that is probability of choosing 3,4,5,6,7,8,9,10 people with a successful outcome (adults who will pay more for environmentally friendly product.)

Instead of going through the long process of checking probability of success for choosing 3,4,5,6,7,8,9,10 adults who will pay more, we can simply find the probability of choosing 0,1,2 adults who will pay more and subtract the answer from 1.

By doing this, we first check for probability of choosing 0 adult that will pay More and this is gotten by putting r=0 in our probability Formula. The Formula becomes

=10C0 * 0.22^0 * 0.78^10

=1 *1 * 0.0834= 0.0834

Hence, Probability of Choosing 0 adult that will Pay more is 0.0834

To Check for probability of choosing 1 adult that will pay more becomes

=10C1 * 0.22^1 * 0.78^9

=10 * 0.22 * 0.1069 = 0.2352

Hence, Probability of choosing 1adult that will pay more = 0.2352

To Check for the probability of choosing 2adults that will pay more becomes

=10C2 * 0.22^2 * 0.78^8

=45 * 0.0484 * 0.1370 = 0.2984

Therefore the total sum of choosing 0,1,2 adults that are willing to pay more becomes

= 0.0834+ 0.2352+ 0.2984 = 0.617

So to determine the probability of choosing more than 2 adults, that is, 3,4,5,6,7,8,9,10 adults that are willing to pay more, we subtract 0.617 from 1.

This gives 1-0.617 = 0.383

Hence, probability of choosing more than 2 people that are willing to pay more than 2 = 0.383.

To determine the probability of choosing between two and five people inclusive, we follow the same probability formular but r becomes 2,3,4,5 differently.

For probability of choosing 2 adults, we already calculated it to be 0.2984 earlier.

For probability of choosing 3 adults, it becomes

10C3 * 0.22^3 * 0.78^7

=120* 0.0106 * 0.1757 = 0.2235

For the probability of choosign 4 adults, it becomes

10C4 * 0.22^4 * 0.78^6

= 210 * 0.0023 * 0.2252 = 0.1088

For the probability of choosing 5 adults, it becomes

10C5 * 0.22^5 * 0.78^5

= 252 * 0.0005 * 0.2887 = 0.0364

Hence, the probability of choosing between 2 and 5 adults becomes

0.2984 + 0.2235 + 0.1088 + 0.0364 = 0.6671

5 0
3 years ago
(3x-8)(2xsquared4x-9) multiply and write the result in descending order
RSB [31]
Hello there, you can proceed with the multiplication of these factors using the FOIL method (which stands for first, outer, inner and last) multiply I assume that by descending order, you mean by decreasing power. If it were so, the answer is 6(x^3)12(x^2)-16(x^2)32x-27x+72. 
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3 years ago
How can the logarithmic expression be rewritten?<br><br> Select True or False for each statement.
topjm [15]

Answer:

True, True, False

Step-by-step explanation:

5 0
2 years ago
If 10% is deducted from a bill, $58.50 remains to be paid. How much is the bill?
patriot [66]

Answer:

got u

Step-by-step explanation:

$64.35

58.50 plus 10% equals 64.3t

7 0
3 years ago
(I’ll give brainilest) help asap
Gekata [30.6K]

Answer:

option c: y=9x+0.5

that's the answer!

4 0
3 years ago
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